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s26 - Measuring angles clockwise from 12 o’clock at time...

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Solution to Problem 26 Congratulations to this week’s winner Mike Fitzpatrick Correct solutions were also received from Jim Otermat, Karrie Mazurkiewicz, Kerrie Kerr, Ray Kremer, Yan Fridman, and Erik Lamb (of Maroa-Forsyth High School). Three incorrect or incomplete submissions were received. Let t denote the time at which the two hands of the clock meet.
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Unformatted text preview: Measuring angles clockwise from 12 o’clock, at time t the minute hand has swept out an angle of [IMAGE] while the hour hand has swept out an angle of [IMAGE] /2 + [IMAGE] /12. Solving for [IMAGE] gives [IMAGE] = (6/11)[IMAGE] . This gives a time of 3:16:21.8181. .....
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